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Finding the Fourth Proportional to 2,494.74, 3,738.84 and 1,803.72

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Solution

The fourth proportional to 2,494.74, 3,738.84 and 1,803.72 is: 2,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.74 : 3,738.84 = 1,803.72 : x
  2. Step 2: Convert to fraction form
    2,494.74/3,738.84 = 1,803.72/x
  3. Step 3: Cross multiply
    2,494.74x = 3,738.84 × 1,803.72
  4. Step 4: Simplify right side
    2,494.74x = 6,743,820.48
  5. Step 5: Solve for x
    x = 6,743,820.48/2,494.74
  6. Step 6: Final answer
    x = 2,703.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.